Multiplication Area Model worksheet - Free Printable

Let’s solve each multiplication problem using the area model step by step. We’ll break each number into tens and ones, multiply the parts, then add them up.

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1. 34 × 23

Break 34 → 30 + 4
Break 23 → 20 + 3

Now fill in the boxes:

- Top left: 30 × 20 = 600
- Top right: 30 × 3 = 90
- Bottom left: 4 × 20 = 80
- Bottom right: 4 × 3 = 12

Add them:
600 + 90 = 690
690 + 80 = 770
770 + 12 = 782

✔ Final answer for 34 × 23 = 782

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2. 40 × 32

Break 40 → 40 + 0 (or just keep as 40)
Break 32 → 30 + 2

Boxes:

- Top left: 40 × 30 = 1200
- Top right: 40 × 2 = 80
- Bottom left: 0 × 30 = 0
- Bottom right: 0 × 2 = 0

Add them:
1200 + 80 = 1280
1280 + 0 + 0 = 1280

✔ Final answer for 40 × 32 = 1280

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3. 58 × 27

Break 58 → 50 + 8
Break 27 → 20 + 7

Boxes:

- Top left: 50 × 20 = 1000
- Top right: 50 × 7 = 350
- Bottom left: 8 × 20 = 160
- Bottom right: 8 × 7 = 56

Add them:
1000 + 350 = 1350
1350 + 160 = 1510
1510 + 56 = 1566

✔ Final answer for 58 × 27 = 1566

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4. 83 × 19

Break 83 → 80 + 3
Break 19 → 10 + 9

Boxes:

- Top left: 80 × 10 = 800
- Top right: 80 × 9 = 720
- Bottom left: 3 × 10 = 30
- Bottom right: 3 × 9 = 27

Add them:
800 + 720 = 1520
1520 + 30 = 1550
1550 + 27 = 1577

✔ Final answer for 83 × 19 = 1577

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5. 34 × 44

Break 34 → 30 + 4
Break 44 → 40 + 4

Boxes:

- Top left: 30 × 40 = 1200
- Top right: 30 × 4 = 120
- Bottom left: 4 × 40 = 160
- Bottom right: 4 × 4 = 16

Add them:
1200 + 120 = 1320
1320 + 160 = 1480
1480 + 16 = 1496

✔ Final answer for 34 × 44 = 1496

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6. 62 × 15

Break 62 → 60 + 2
Break 15 → 10 + 5

Boxes:

- Top left: 60 × 10 = 600
- Top right: 60 × 5 = 300
- Bottom left: 2 × 10 = 20
- Bottom right: 2 × 5 = 10

Add them:
600 + 300 = 900
900 + 20 = 920
920 + 10 = 930

✔ Final answer for 62 × 15 = 930

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Final Answer:
34 × 23 = 782
40 × 32 = 1280
58 × 27 = 1566
83 × 19 = 1577
34 × 44 = 1496
62 × 15 = 930